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Simplifying 5(2c + 7) + -3c = 7(c + 5) Reorder the terms: 5(7 + 2c) + -3c = 7(c + 5) (7 * 5 + 2c * 5) + -3c = 7(c + 5) (35 + 10c) + -3c = 7(c + 5) Combine like terms: 10c + -3c = 7c 35 + 7c = 7(c + 5) Reorder the terms: 35 + 7c = 7(5 + c) 35 + 7c = (5 * 7 + c * 7) 35 + 7c = (35 + 7c) Add '-35' to each side of the equation. 35 + -35 + 7c = 35 + -35 + 7c Combine like terms: 35 + -35 = 0 0 + 7c = 35 + -35 + 7c 7c = 35 + -35 + 7c Combine like terms: 35 + -35 = 0 7c = 0 + 7c 7c = 7c Add '-7c' to each side of the equation. 7c + -7c = 7c + -7c Combine like terms: 7c + -7c = 0 0 = 7c + -7c Combine like terms: 7c + -7c = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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